Composite partition functions

ABSTRACT

Composite partition function techniques are described herein that may be used to repartition a database without moving existing data. In one or more implementations, a database is partitioned in a first arrangement associated with a first partition function. The database is repartitioned to form a second arrangement associated with a second partition function. A record of key membership for data entries in the partitions existing at the time of repartitioning is created, which can be used to recognize data corresponding to the first arrangement. A composite partition function is defined for subsequent database operations that is configured to apply the first partition function for data having keys found in the record of key membership and apply the second partition function for other data having keys that are not found in the record of key membership.

BACKGROUND

Users are increasingly relying upon cloud-based resources for onlineactivities such as conducting business and personal communications,online meetings, screen-sharing, video chats, messaging, and otherwiseusing various resources available from service providers. Variousapplication and user data associated with user interactions may bemaintained in databases associated with the resources. Generally, adatabase may include many different individual partitions or databasenodes to which data is allocated. The partitions may be spread acrossmultiple different physical devices and servers. Data entries may beassociated with identifiers such as key values that indicate which ofthe partitions corresponds to the data. The identifiers may be used toallocate and reference the data to perform operations such as adding,accessing, and modifying corresponding data entries.

Over time, the amount of data stored in a database grows and at somepoint the storage capacity may be expanded to accommodate the volume ofdata and requests. One traditional database expansion approach involvesstopping services for and/or access to the database, adding newstorage/partitions to the database, and then reallocating all of thepre-existing data across the new arrangement of partitions. In thisapproach, pre-existing data is moved to new locations and this movingprocess may be quite time consuming for large scale databases. As such,traditional database expansion techniques may be quite disruptive toservices provided to users and take a considerable amount of time toprocess and re-insert data at new locations in the updated arrangementof partitions.

SUMMARY

Composite partition function techniques are described herein that may beused to repartition a database without moving existing data. In one ormore implementations, a database is partitioned in a first arrangementassociated with a first partition function. The database isrepartitioned to form a second arrangement associated with a secondpartition function. A record of key membership for data entries in thepartitions existing at the time of repartitioning is created, which canbe used to recognize data corresponding to the first arrangement. In oneapproach, the record of key membership is configured as a Bloom filterthat compactly represents keys or other identifiers associated with thefirst arrangement of partitions. A composite partition function thatincorporates the first partition function and the second partitionfunction is defined and used for subsequent database operations in thesecond arrangement. The composite partition function is configured toapply the first partition function for data having keys found in therecord of key membership and apply the second partition function forother data having keys that are not found in the record of keymembership. The repartitioning is performed such that data entriesexisting at the time of repartitioning keep their respective locationsin partitions of the first arrangement.

This Summary is provided to introduce a selection of concepts in asimplified form that are further described below in the DetailedDescription. This Summary is not intended to identify key features oressential features of the claimed subject matter, nor is it intended tobe used as an aid in determining the scope of the claimed subjectmatter.

BRIEF DESCRIPTION OF THE DRAWINGS

The detailed description is described with reference to the accompanyingfigures. In the figures, the left-most digit(s) of a reference numberidentifies the figure in which the reference number first appears. Theuse of the same reference numbers in different instances in thedescription and the figures may indicate similar or identical items.Entities represented in the figures may be indicative of one or moreentities and thus reference may be made interchangeably to single orplural forms of the entities in the following discussion.

FIG. 1 is an illustration of an example operating environment that isoperable to employ techniques for composite partition functions.

FIG. 2 depicts an example arrangement of partitions for a databasesystem in accordance with one or more implementations.

FIG. 3 depicts another example arrangement of partitions for a databasesystem representing an expansion of the system of FIG. 2 in accordancewith one or more implementations.

FIG. 4 depicts another example arrangement of partitions for a databasesystem in accordance with one or more implementations.

FIG. 5 depicts a representation of assigning partitions to slots inaccordance with one or more implementations.

FIG. 6 is a flow diagram depicting an example procedure in which acomposite partition function is defined in accordance with one or moreimplementations.

FIG. 7 is a flow diagram depicting an example procedure in which acomposite partition function is used to route requests for anarrangement of partitions in accordance with one or moreimplementations.

FIG. 8 illustrates an example system having devices and components thatmay be employed to implement aspects of the techniques described herein.

DETAILED DESCRIPTION

Overview

Over time, the amount of data stored in a database may grow and at somepoint the storage capacity may be expanded to accommodate the volume ofdata and requests. One traditional database expansion approach involvesshutting down the database to create new partitions and distributing allof the pre-existing data across the new arrangement of partitions, whichis time consuming and disruptive to users.

Composite partition function techniques are described herein that may beused to repartition a database without moving existing data. In one ormore implementations, a database is partitioned in a first arrangementassociated with a first partition function. The database isrepartitioned to form a second arrangement associated with a secondpartition function. A record of key membership for data entries in thepartitions existing at the time of repartitioning is created, which canbe used to recognize data corresponding to the first arrangement. In oneapproach, the record of key membership is configured as a Bloom filterthat compactly represents keys or other identifiers associated with thefirst arrangement of partitions. A composite partition function thatincorporates the first partition function and the second partitionfunction is defined and used for subsequent database operations in thesecond arrangement. The composite partition function is configured toapply the first partition function for data having keys found in therecord of key membership and apply the second partition function forother data having keys that are not found in the record of keymembership. The repartitioning is performed such that data entriesexisting at the time of repartitioning keep their respective locationsin partitions of the first arrangement.

Using composite partition function techniques as described herein, it ispossible to maintain existing data in their respective location withinan arrangement of partitions during repartitioning of a database. Assuch, large quantities of data do not have to be moved which reduces anamount of time associated with repartitioning. Moreover, using a Bloomfilter or other compressed representation of key membership enablesquick assessments to distinguish between data associated with differentpartition arrangements (e.g., partition eras) and select the correctpartition functions for management of data requests. Further, the recordof key membership is configured to have a relatively small size thatmakes the record manageable and distribution of the record for use bydifferent servers, partitions, and components of the database systemfeasible.

In the following discussion, an example environment is first describedthat may employ the techniques described herein. Example details andprocedures are then described which may be implemented in the exampleenvironment as well as other environments. Consequently, the exampledetails and procedures are not limited to the example environment andthe example environment is not limited to the example details andprocedures. Lastly, an example system and components of the system arediscussed that may be employed to implement aspects of the techniquesdescribed herein.

Example Environment

FIG. 1 is an illustration of an environment 100 in an exampleimplementation that is operable to employ techniques described herein.The illustrated environment 100 includes a client device 102, an otherclient device 104, and a service provider 106 that are communicativelycoupled via a network 108. The client device 102, other client device104, and service provider 106 may be implemented by one or morecomputing devices and also may be representative of one or moreentities.

A computing device may be configured in a variety of ways. For example,a computing device may be configured as a computer that is capable ofcommunicating over the network 108, such as a desktop computer, a mobilestation, an entertainment appliance, a set-top box communicativelycoupled to a display device, a wireless phone, a game console, and soforth. Thus, the computing device may range from full resource deviceswith substantial memory and processor resources (e.g., personalcomputers, game consoles) to a low-resource device with limited memoryand/or processing resources (e.g., traditional set-top boxes, hand-heldgame consoles). Additionally, although a single computing device isshown in some instances, the computing device may be representative of aplurality of different devices, such as multiple servers of the serviceprovider 106 utilized by a business to perform operations, and so on.Further examples of computing systems and devices suitable to implementtechniques described herein are described below in relation to FIG. 8.

Although the network 108 is illustrated as the Internet, the network mayassume a wide variety of configurations. For example, the network 108may include a wide area network (WAN), a local area network (LAN), awireless network, a public telephone network, an intranet, apeer-to-peer network, and so on. Further, although a single network 108is shown, the network 108 may be configured to include multiplenetworks.

The client device 102 is further illustrated as including an operatingsystem 110. The operating system 110 is configured to abstractunderlying functionality of the underlying device to applications 112that are executable on the client device 102. For example, the operatingsystem 110 may abstract processing, memory, network, and/or displayfunctionality such that the applications 112 may be written withoutknowing “how” this underlying functionality is implemented. Theapplications 112, for instance, may provide data to the operating system110 to be rendered and displayed by a display device as illustratedwithout understanding how this rendering will be performed. A variety ofapplications 112 typically associated with client devices arecontemplated including, but not limited to, a productivity suite thatintegrates multiple office productivity modules, a web browser, games, amulti-media player, a word processor, a spreadsheet program, a photomanager, and so forth.

The client device 102 and other client device are each illustrated asincluding a communication module 114. The communication modules arerepresentative of functionality to enable various kinds ofcommunications via the network 108. Examples of the communicationmodules include a voice communication application (e.g., a VoIP client),a video communication application, a messaging application, a contentsharing application, a browser to access web content and combinationsthereof. The communication module 114 for instance, enables differentcommunication modalities to be combined to provide diverse communicationscenarios. This includes but is not limited to implementing integratedfunctionality for user presence indications, video communications,online collaboration and meeting experiences, instant messaging (IM),and voice calling. Further, the communication module may be operable toaccess online resources (e.g., content and services), browse web pagesand sites, establish communication connections with service providersand other clients, and enable various other interactions through userinterfaces 116 that may be output via the communication modules. In atleast some implementations, the communication module 114 represents anapplication that is deployed to and installed locally on a clientdevice. Additionally or alternatively, the communication module 114 maybe implemented all or in part as a remote application that is accessedand executed via a web browser (e.g., a web application), as a remoteservice from a provider, using peer-to-peer techniques, and so forth.

The service provider 106 includes functionality operable to managevarious resources 118 that may be made available over the network 108,such as via a resource manager 120 as depicted in FIG. 1. The resourcemanager 120 represents various functionality to manage the resources 118and data related to the resources as discussed herein. The serviceprovider 106 may provide various resources 118 via webpages or otheruser interfaces 116 that are communicated over the network for output byone or more clients via a web browser or other client application. Theservice provider 106 is configured to manage access to the resources118, performance of the resources, and configuration of user interfaces116 to provide the resources 122, and so on. The service provider 106may represent one or more server devices used to provide the variousresources 118.

Additionally, the resource manager 120 may be configured to implementpartition functions 122 to manage databases 124 associated with theresources 118 that may partitioned and repartitioned into a plurality ofpartitions 126 (also referred as shards). In general, a partitionfunction is configured define how data is allocated across anarrangement of partitions and may also be used to route data requests toappropriate partitions. At least some of the partition functions 122 maybe composite partition functions that are configured and operate in themanner described above and below. Additional details regarding formationand use of composite partition functions can be found in relation to thefollowing figures.

In at least some embodiments, clients may access the resources 118provided by a service provider 106 through client/user accounts to whichthe clients are authenticated. For instance, to access resources 118, aclient device may provide a username and password that are authenticatedby an authentication service. When the authentication is successful(e.g., the client “is who they say they are”), the authenticationservice may pass a token (or other suitable authenticationidentifier/secret) to enable access to corresponding resources. A singleauthentication may correspond to one or more resources, such thatauthentication to a single account by a “single sign-on” may provideaccess to individual resources, resources from multiple serviceproviders 106, and/or to an entire suite of resources available from aservice provider 106.

Generally, resources 118 made accessible by a service provider 106 mayinclude any suitable combination of services and/or content typicallymade available over a network by one or more providers. Some examples ofservices include, but are not limited to, a search service, an emailservice, an instant messaging service, an online productivity suite, acollaboration service (e.g., a service that integrates functionality forone or more of VoIP calls, online meeting and conferencing, screensharing, a unified communications and collaboration (UC&C) service,instant messaging, video chats, voice communication, and so forth) andan authentication service to control access of clients to the resources118. Content may include various combinations of text, multi-mediastreams, documents, application files, photos, audio/video filesanimations, images, web pages, web applications, device applications,content for display by a browser or other client application, and thelike.

Having considered the foregoing example environment, consider now adiscussion of some example details and procedures for compositepartition function techniques in accordance with one or moreimplementations.

Composite Partition Function Details

This section discusses details of composite partition functiontechniques and example procedures that may be used to repartition adatabase without moving existing data in accordance with one or moreimplementations. Generally speaking, partitioning is a technique thatmay be used for scaling databases. Partitioning may involve splitting ofrecords/data entries into disjoint subsets called partitions 126 (alsoreferred to as shards). The partitioning may be based upon suitableidentifiers for the records, one example of which is primary keys of therecords. Partitions may be physically distributed across multipledifferent servers and/or storage devices (e.g., database nodes). In oneapproach, each partition may be assigned to a separate database serversuch that there is a one to one mapping between partitions and databasenodes. In addition or alternatively, one or more partitions may belogically divided across servers/storage devices such that spaceallocated for a given partition may be located on two or more individualdatabase nodes.

In this context, a given arrangement of partitions has a finite amountof storage capacity which is consumed as the database is populated withdata. At some point in time, a capacity threshold may be reached atwhich the storage capacity may have to be expanded to make continuedoperation of the database possible. Expansion of the database mayinvolve adding one or more partitions to an existing arrangement ofpartitions to create another arrangement of partitions with more storagecapacity. Expansion of the database is also referred to herein asrepartitioning. Repartitioning may occur for a balanced system in whicheach database node is becoming equally saturated, either with respect tothe volume of data stored or rate of requests for access to the data. Inthis case, additional storage (e.g., another server/storage device) maybe added with a new partition function configured to take advantage ofthe additional storage. Repartitioning may also occur for an unevenlybalanced system in which some database nodes are near storage limits,while other nodes are lightly loaded and have room to spare. In thissituation the database nodes may remain the same, but a new partitionfunction may be defined that is configured to favor the less utilizednodes over the more loaded nodes.

In accordance with techniques described herein, repartitioning may beperformed such that data entries located in partitions existing at thetime of repartitioning keep their respective locations. In other words,data already in the database at the time of repartitioning is not movedas a result of the repartitioning, which results in reduced processingtime and resource utilization. This may be accomplished by using acomposite partition function as discussed herein that is configured toselectively apply multiple different underlying partition functionscorresponding to successive arrangements of the partitions or “partitioneras,” for handling of data requests. In order to do so, the compositepartition function may include or otherwise make use of records of keymembership to recognize partition eras to which each data requestcorresponds and apply an appropriate partition function for thepartition era that is recognized to handle the request.

Consider now the examples of FIGS. 2-5, which illustrate further detailsand concepts regarding composite partition functions and key membershiprecords, as well as repartitioning using composite partition functions.In particular, FIG. 2 depicts generally at 200 an example arrangement ofpartitions for a database system in accordance with one or moreimplementations. In the illustrated example, a server 202 is representedthat may be associated with a service provider 106 as discussed inrelation to FIG. 1. The server 202 may be configured to providefunctionality associated with a web application 204 and/or otherresources 118. The server 202 also includes a resource manager 120 thatmay operate as discussed herein to manage interactions with the webapplication 204 and storage of data associated with the web applicationin a corresponding database. The data may be stored via storage deviceson which partitions 126 for the database are defined and that may beimplemented via one or more servers, which may or may not include theserver 202. In an implementation, one or more of the partitions 126 fora database may be provided via the server 202.

The resource manager 120 in the depicted example is configured toimplement a partition function p1 206(1) for the arrangement ofpartitions depicted in FIG. 2, which includes two example partitions,namely partition 208(0) and partition 208(1). The data is represented ina key-value format, where the key is a primary key of a data record andthe value represents the content of the data record. Data requests maybe made to access the data and perform operations upon the dataincluding but not limited to adding records, deleting records,modification of the data, read operations, write operations, and soforth. In order to access the data to perform operations, the requestingapplication uses the key (or other comparable identifier) to locate thedatabase node for a partition corresponding to the indicated key. Oncethis is done, data may be accessed from the selected node and/orpartition in accordance with particular protocols, formats, and/ordatabase technology for the database system, which may be different fordifferent systems.

The partition function p1 206(1) and partition functions 122 in generalenable a deterministic selection of partitions based on correspondingkeys. In other words, the function consistently selects the samepartition for a given key so that the data may be reliably located.Various configurations of partition functions 122 are contemplated. Inone approach, the partition functions may be configured as hashfunctions that when applied to key values for data requests return dataidentifying partitions of the database corresponding to the key values.

By way of example and not limitation, a partition function p may havethe form p(k)=hash(k) mod N, where k is the key, hash is a hashingfunction and N is a number of partitions for a given arrangement. Inthis example, the partition function returns a partition number countingfrom 0 to N−1. The hash function operates to assigns a large integervalue to a string (or byte array) representing the key k or otheridentifying data. The hash functions utilized in this form may beconfigured to provide a uniform distribution of values. Alternatively, ahash function may be selected/configured to achieve a distribution ofvalues that may be used to skew the placement of data to particularpartition (e.g., under-utilized partitions). The modulo function mod Ncasts the large integer value back into a range of 0 to N−1, which maybe used as identifiers for the individual partitions in the arrangementof partitions. Accordingly, the partition function may be designed todistribute data among the database nodes/partitions in accordance with adistribution scheme reflected by the partition function.

In the example of FIG. 2, the partition function p1 206(1) is configuredto map records for keys k1 and k2 to the first partition, which ispartition 208(0) in this example. In other words, the partition functionp1 206(1) evaluated for keys k1 and k2 returns an identifier forpartition 208(0), which is the value zero in this case (e.g.,(p1(k1)=p1(k2)=0). Accordingly, data records/values corresponding tokeys k1 and k2 may be stored in and accessed from servers/storageassociated with the partition 208(0) as represented in FIG. 2. Thepartition function p1 206(1) is also configured to map records for keysk3 and k4 to the second partition, partition 208(1). Here, the functionevaluated for keys k3 and k4 returns an identifier for partition 208(1),which is the value one in this case (e.g., (p1(k3)=p1(k4)=1).Accordingly, data records/values corresponding to keys k3 and k4 may bestored in and accessed from servers/storage associated with thepartition 208(1) as represented in FIG. 2.

Now, if a capacity threshold is reached for the example system shown inFIG. 2, additional capacity may be added by including additionalservers/storage and repartitioning the database across the newarrangement of partitions. Consider for example and expansion from N toN′>N, where for example N′=N+1, or N′=2*N. The new arrangement ofpartitions is governed by a new partition function created toaccommodate the additional capacity/partitions. New data may then beallocated to the expanded system using a new partition function, whichmay have the form p′(k)=hash(k) mod N′ as discussed above. The locationof existing data though is governed by the former partition function(e.g. partition function p1 206 (1)) and therefore the new partitionfunction may not reliably locate the existing data since generally thetwo functions are not aligned (e.g., p(k)≠p′(k)). A traditional solutioninvolves stopping the database service for a period of time, iteratingover existing records and performing a remove and re-insert operationaccording to the new partition function to enable subsequent use of thenew partition function. As mentioned previously, this can be quitedisruptive and time consuming for databases having a large volume ofdata and requests.

Composite partition function techniques described herein, though, may beused to repartition a database without moving existing data. In general,the composite partition function uses records of key membership fordifferent partition arrangements to select corresponding partitionfunction to use for a given database operation. In this case, thepartition function by which particular data was allocated initially tothe database continues to be used for the particular data, even afterrepartitioning. The records of key membership enable selection of thecorrect function to apply and the composite partition function isdesigned to use a combination of two or more individual partitionfunctions that each correspond to a different partition era.

To illustrate, consider FIG. 3 which depicts generally at 300 anotherexample arrangement of partitions for a database system representing anexpansion of the system of FIG. 2 in accordance with one or moreimplementations. In this example, an additional partition 208(2) isdepicted as being included in the arrangement of partitions of FIG. 3.Additionally, the resource manager 120 is illustrated as implementing acomposite partition function 302 that governs data allocation for thearrangement of partitions of FIG. 3. The composite partition function302 is configured to combine the former function for the arrangement ofFIG. 2, partition function p1 206(1), with a new function, partitionfunction p2 206(2), established for the rearrangement of partitionsshown in FIG. 3. The composite partition function 302 is also configuredto include or make use of a key record b1 304(1) that may be used torecognize correspondence of key values with the individual partitionfunction incorporated in the composite partition function 302. In oneapproach, the key record b1 304(1) provides a mechanism to identifywhich key values are associated with the former function (partitionfunction p1 206(1)) and therefore select this function for handling ofcorresponding data requests. The partition function p2 206(2) may beused for other data requests which do not correspond to key valuescontained in the key record b1 304(1).

In this example, date entries/values associated with keys k1, k3, k3 andk4 are preexisting in the system and are distributed across twopartitions as shown in FIG. 2. Repartitioning may occur to add anadditional partition as shown in FIG. 3. In implementations, thedatabase system may be stopped to create an additional partition(s) andinstall the composite partition function. As part of the repartitioning,existing keys in the system (e.g., k1, k2, k3 and k4) are processed tocreate a records keys membership at the time of repartitioning, which isrepresented by key record b1 304(1). It is noted that this processingmay take significantly less time relative to the amount of time it wouldtake to move the existing records in accordance with the new partitionfunction.

The composite partition function 302 may be defined in the followingmanner. Partition function p1 206(1) is the original partition functionfor the arrangement of two partitions and may have the form p1(k)=hash(k) mod 2. Partition function p2 206(2) is the new partitionfunction established for the expanded arrangement of three partitionsand may have the form p2(k)=hash(k) mod 3. Now, the composite partitionfunction 302 represented as p′(k) may be expressed as:

-   -   p′(k)=p1(k) for any k for which b1(k)=true, or p′(k)=p2(k)        otherwise.

In other words, a check is made to see if a key value is included in thekey record b1 304(1). If the key value is found, p1 is used for handlinga corresponding request/operation. Otherwise if the key value is notfound, p2 is used for handling a corresponding request/operation. Usingthe composite partition function 302, existing records can stay in theiroriginal locations since they are still located using p1. New recordsmay populate data across the arrangement of partition including the newpartition using p2. Consequently, the entire set of database nodes areutilized going forward.

Records of key membership such as the key record b1 304(1) of FIG. 3 maybe configured in any suitable way to distinguish between keys associatedwith different partition arrangements and/or partition eras. Raw listsof keys corresponding to each arrangement/era may be employed in one ormore implementations. Practically, though, the size of raw list of keysmay make it difficult to distribute the lists to different databaseservers and nodes and take up a considerable amount memory. Accordingly,a compact representation of keys in a compressed format may be employedin addition or alternatively to using raw lists. A variety of differentcompressed data structures are contemplated that may be configured toidentify keys corresponding to data entries existing in a database atthe time of repartitioning. Examples of compressed data structuresinclude but are not limited to a bit map, an arrays, matrices, andfilters, to name a few examples.

Another example of a compressed data structure that may suitable forrecords of key membership in one or more implementations is a Bloomfilter. A Bloom filter is a data structure that is designed to remembera set membership for a set of values in a space efficient way. Inparticular, given a set of keys S={k1, . . . kN}, a Bloom filter may becreated to “remember” existence of each key in the set S. Since it isspace efficient, the Bloom filter does not merely remember the list ofall the keys. Instead, the Bloom filter maintains a bit vector, wherefor each key k from the set S, a bit is set at index hash(k) mod M,where hash is a hash function (which may or may not differ from hashfunctions associated with partition functions), and M is the length ofthe bit vector. In order to determine the set membership of any givenkey k, a lookup is performed for the bit at position hash(k) mod M. Ifthe bit is set, the key is a member of the set, otherwise it is not. Thebit vector is very space efficient, and thus it makes it possible tostore the Bloom filter in the memory of database nodes, even for largenumbers of keys typically found in databases supporting largeapplications.

It is noted that Bloom filter is a probabilistic data structure thatproduces some false positive errors. For example, a key k2 that is not amember of the set S might hash to the same value as the key k1 that is amember of S. This error is known as a collision of the hashing function.The error rate is small, but it is still possible. Accordingly, for asmall number of keys that are not members of S, the Bloom filter mayincorrectly classify them as set members. The probability of errors maybe minimized by extending the length of the bit vector and/or by usingmultiple hash functions and resolving the membership based onexamination of multiple bits settings indicated by these hash functions.Thus, a Bloom filter may be selectively configured to control the errorby specifying the length of the bit vector and by choosing one or morehash functions to use for the Bloom filter. In practice, a tradeoff maybe made to set an acceptable error rate subject to constraints onstorage space consumed by the Bloom filter and latency/cost forcomputation of the hash functions. The error rate is acceptable since ifthe Bloom filter misrecognizes a key for new data as being a member ofset it will consistently do so. Thus, the data may be reliably locatedeven if it is placed using a former partition function. Moreover, theBloom filter does not return false negatives for keys that are membersof the set (e.g., keys for pre-existing records) and thus old data mayremain in and be reliably located in original locations. In one approacha configuration of the Bloom filter may include setting a configurabletolerance that determines how frequently false positive errors areproduced. In turn, a degree of compactness of the Bloom filter isdependent upon the configurable tolerance. For example, a higher degreeof compactness may be achieved by setting the configurable tolerance toproduce or “tolerate” more false positive errors. In practice a veryhigh degree of compactness may be attained since misrecognized dataentries may still be reliably located using a function from a precedingera. In other words, the effect of Bloom filter errors may be negligibleso a relatively large frequency of errors may be tolerable and thereforevery compact configurations of Bloom filters may be employed.

Consider now an example represented by FIG. 3 in which four new recordsare added to the system after repartitioning. For the purposes of thisexample, assume the key record b1 304(1) is configured as a Bloom filteras just described. Keys k1, k3, k3 and k4 are preexisting in the systemand will be recognized as being members of the Bloom filter.Accordingly, requests associated with these keys are governed by thepartition function p1 206(1). Keys k5 and k6 are found to be not membersof the Bloom filter and may be assigned by the partition function p2206(2) to partition 208(1). Key k7 is also not found in the Bloomfilter, and assigned by partition function p2 206(2) to the newpartition of database 3. Key k8 is an interesting case, since it is anew key that came about after repartitioning, yet due to the Bloomfilter error as discussed above it is misclassified as a member, andhence assigned by partition function p1 206(1) to partition 208(1). Asnoted though, this does not cause an issue with the integrity of thedata or ability to locate data corresponding to key k8 since, the Bloomfilter will consistently misrecognize key k8 and therefore reliablyroute requests for the data.

It is further noted that the repartitioning process described herein maybe performed multiple times for successive partition eras. The conceptsdiscussed above in relation to FIGS. 1-3 may be applied to a generalizedcase that involves multiple repartitioning operations. For example, theformer function p1 in the preceding example may be a different compositepartition function that corresponds to a previous repartitioning. Inother words, the composite partition function established for a currentarrangement of partitions may incorporate one or more other compositepartition functions for previous arrangements.

To further illustrate, consider FIG. 4 which depicts generally at 400another example arrangement of partitions for a database system inaccordance with one or more implementations. In particular, FIG. 4depicts a generalized case of multiple database partitions (1 through N)and multiple repartitioning operations, each of which does not causemovement of existing data to new locations in the arrangement ofpartitions. In this example, the database system's lifetime may has aseries of successive partition eras (1 through M). Each partition era isassociated with a respective partition function 122 that defines how toallocate and locate data for partitions existing for that partition era.Additionally, repartitioning represents the end of a previous partitionera and the beginning of a new partition era. Bloom filters or otherrecords of key membership existing at the end of each era may beestablished as part of the repartitioning. Thus, different partition eramay be associated with different records of key membership that may beused to recognize the correct partition functions 122 to apply for datarequest.

The current petition era M is governed by a composite partition function402, which is a combination of multiple hash based partition functionsp1 . . . pM having references 206(1) . . . 206(M) for each partitionera. Additionally, key records b1 . . . b_(M-1) having references 304(1). . . 304(M−1) are depicted as being established for each of thepetition eras prior to the current era. The composite partition function402 may be configured to check whether a key value is found in any oneof the key records and then apply a corresponding partition functionwhen membership in one of the key records is determined. In oneapproach, the check begins by checking the key record for the oldest eraand then progresses through each era from oldest to newest until a matchis found. If match is not found in any of the key records, the partitionfunction pM (206(M)) for the current era is selected and applied. Inthis context, the composite partition function 402 may be expressed asfollows:

-   -   if k is found in filter b₁ then set p(k)=p₁(k)    -   else if k is found in filter b₂ then set p(k)=p₂(k)    -   . . . continue evaluations for intervening eras    -   else if k is found in filter b_(M-1) then set p(k)=p_(M-1)(k)    -   else set p(k)=p_(M)(k)

A representation of the example composite partition function 402 inpseudo code is as follows:

repeat for i from l to M if b_(i)(k) == true return p_(i)(k) returnp_(M)(k)

In accordance with the foregoing discussion, a composite partitionfunction configured to selectively apply partition functions for two ormore partition eras may be defined to govern database operations andrequests for a current era. In one or more implementations, thecomposite partition function is configured to provide a substantiallyequal distribution of new data records across partitions in the currentarrangement of partitions. Depending upon the distribution of data thatexists at the time of repartitioning, though, distribution of new datamay or may not create an acceptable load balance since a newly addedpartition may have much more storage space available than existingpartitions on which old data is already stored.

For example, consider a system with N partitions expanded to N′ usingpartition functions hash(k) mod N and hash(k) mod N′. For the purpose ofexample, assume N=2 and N′=3 as in the examples of FIGS. 2 and 3,respectively. The corresponding partition functions p₁(k)=hash(k) mod 2and p₂(k)=hash(k) mod 3 will place some data onto a new partition butthe existing partitions will likely be more loaded due to loadconditions at the time of repartitioning. The allocation may thereforeresult in an unbalanced system.

Accordingly, a rebalancing feature may also be provided in conjunctionwith the composite partition function techniques discussed herein. Inone approach, the rebalancing feature may be provided as an option thatmay be selectively toggled on or off to skew allocation of new data tonew and/or underutilized partitions. In addition or alternatively theresource manager 120 may be configured to automatically implementrebalancing based on factors such as the available capacity ofpartitions, volume of requests, rate of increase in data, and so forth.Generally, the rebalancing feature may involve using a modified hashfunction configured to incorporate a skew factor to cause allocation ofnew data to one or more designated partitions more frequently than toother partitions. For example, a skew factor may cause unevendistribution of data to allocate more data to new partitions added for areconfigured arrangement than to old partitions existing prior to arepartitioning operation. Various techniques to skew allocation towardsparticular partition are contemplated. For example, a skew factor mayoperate to specify a configurable interval at which requests areallocated to a selected partition even if the hash function wouldindicate a different partition. Thus, the system may be set toautomatically allocate requests to the selected partition at theinterval (e.g., every third or fourth request). In another approach, theskew factor may be dynamically altered based on relative loads of thepartitions such that more requests are allocated to the selectedpartition initially, but over time the function gradually may return tomaking even distributions. For example, the skew factor may varyaccording to a decay function that cause the effect of the skew factorto diminish over time as the selected partition fills up with data.

In another approach, the skew factor is implemented via a modifiedpartition function which uses a slotting concept to bias allocationtowards the new partitions in an arrangement. Here, the modifiedpartition function defines multiple slots that are greater in numberthan the number of partitions. Then, the slots are logically assigned tothe partitions such that a new partition or selected partition may beassigned to more than one of the slots. The hash function is configuredto return data identifying the slots and allocate data to correspondingpartitions. Since the values returned by the hash function span thenumber of slots, data will be allocated more frequently to a partitionthat is assigned to more than one of the slots relative to partitionsassigned to just one slot.

To illustrate, consider FIG. 5 which depicts generally at 500 arepresentation of assigning partitions to slots in accordance with oneor more implementations. Here, the three partitions 208(0), 208(1),208(2) of the example in FIG. 3 are shown. A number of slots 502 aredefined and assigned to the partitions. In this example four slots 502are assigned to three partitions 208(0), 208(1), 208(2) with each ofpartition 208(0) and partition 208(1) (e.g., old partitions) beingassigned to one slot and partition 208(2) (e.g., the new partition)being assigned to two slots.

For a partition function having the general form p(k)=hash(k) mod N asnot above, the modification to implement the bias involves replacing thevalue of N with the value of S, where S is the number of slots. Inaddition, data indicative of slot assignments may be maintained to mapslot identification returned to the actual partitions. Then,partitioning is computed in two steps:

-   -   (1) compute the slot=hash(k) mod S, where S is the number of        slots    -   (2) map the slot to the partition using data indicative of slot        assignment

As new data arrives, more keys are mapped to the new partition, andaccordingly the new partition fills up at a faster rate than oldpartitions and takes over more of the load. Eventually the system mayapproach balance between the partitions, at which point continuing toskew towards the newer partition may cause an imbalance to return, thistime with the newer partition servicing too much of the load. To addressthis issue, another repartitioning operation as described herein may beperformed, which uses the same partitions but causes a switch from theskewed hash function back to the “standard” function that does not useslots or skew factors. Here the additional repartitioning is performedto change update the partition function without adding more capacity.After this additional repartitioning, the system will be both balancedand expanded.

Example Procedures

The following discussion describes techniques that may be implementedutilizing the previously described systems and devices. Aspects of eachof the procedures may be implemented in hardware, firmware, or software,or a combination thereof. The procedures are shown as a set of blocksthat specify operations performed by one or more devices and are notnecessarily limited to the orders shown for performing the operations bythe respective blocks. In portions of the following discussion,reference may be made to the environment 100 of FIG. 1 and the examplesof FIGS. 2-5. By way of example, aspects of the procedures may beperformed by a suitably configured computing device, such as by one ormore server devices associated with a service provider 106 configured toprovide resources 118 and/or a resource manager 120.

Functionality, features, and concepts described in relation to theexamples of FIGS. 1-5 may be employed in the context of the proceduresdescribed herein. Further, functionality, features, and conceptsdescribed in relation to different procedures below may be interchangedamong the different procedures and are not limited to implementation inthe context of an individual procedure. Moreover, blocks associated withdifferent representative procedures and corresponding figures herein maybe applied together and/or combined in different ways. Accordingly,individual functionality, features, and concepts described in relationto different example environments, devices, components, and proceduresthroughout this document may be used in any suitable combinations andare not limited to the particular combinations represented by theenumerated examples.

FIG. 6 is a flow diagram depicting an example procedure 600 in which acomposite partition function is defined in accordance with one or moreimplementations. A database is partitioned with a first partitionfunction (block 602). For example, a resource manager 120 may operate tomanage a database 124 associated with resources 118 as discussedpreviously. The database 124 may be divided into multiple partitions126, which are defined and/or managed via a partition function 122implemented by the resource manager 120 or otherwise.

Subsequently, the database is repartitioned (block 604). Repartitioningmay be initiated automatically or at the direction of a user.Repartitioning may be performed when the storage capacity of an existingarrangement of partition reaches a threshold level of utilization. Inthis case, the repartitioning may involve adding more storage capacity.In addition or alternatively, repartitioning may be performed for otherreasons such as to rebalance the partitions as discussed herein, changethe partition function to achieve a particular allocation goal, undo askewed hash function to return to a balanced allocation, and so forth.

As part of repartitioning, a record of key membership is created fordata entries located in partitions existing at a time of repartitioning(block 606) and one or more new partitions associated with a secondpartition function are added (608). Various techniques may be used toimplement a record of key membership as discussed previously herein. Forinstance, a Bloom filter or other compressed data structure may be usedto record key values or other suitable identifiers associated with dataentries located in partitions existing at the time of repartitioning.Further, new partitions may be added to increase storage capacity andcreate a new arrangement of partitions. As discussed herein, the newarrangement of partitions is associated with a second partition functionthat accounts for the new partitions and is configured to distribute newdata across both the new and old partitions.

Additionally, a composite partition function is defined for subsequentdatabase operations that is configured to apply the first partitionfunction for data having key values found in the record of keymembership or otherwise apply the second partition function for datahaving key values not found in the record of key membership (block 610).Then, the composite partition function is applied to manage datarequests associated with the database (block 612). Generally, thecomposite partition function is configured to utilize a record orrecords of key membership to map key values/identifiers for data tocorresponding partition functions associated with different partitioneras. Data requests may then be handled in accordance with correspondingpartition functions returned by application of the composite partitionfunction. Using the composite partition function approach discussedherein enables the repartitioning to be performed such that the dataentries located in partitions existing at the time of repartitioningkeep their respective locations. In other words, the old data is notmoved. Various details and examples regarding composite partitionfunctions that may be employed in connection with the procedure 600 werediscussed previously in relation to FIGS. 1-5.

FIG. 7 is a flow diagram depicting an example procedure 700 in which acomposite partition function is used to route requests for anarrangement of partitions in accordance with one or moreimplementations. A record of identifiers is established for datacorresponding to a first partition function associated with a firstarrangement of one or more partitions for a database (block 702). Therecord of identifiers may be configured as a Bloom filter as describedherein or other suitable data structure that may be used to indicatemembership of data with respect to an arrangement of one or morepartitions (e.g., a partition era). The identifiers may be configured askey values as discussed herein, although other identifiers are alsocontemplated such as identifying strings, a hash value for data content,and so forth. The first arrangement of one or more partitions maycorrespond to an initial configuration of a database (e.g., an initialpartition era). In addition or alternatively, the first arrangement ofone or more partitions may result from repartitioning of an arrangementfor a previous era, in which case the first partition function may beconfigured as a composite function.

The arrangement of partitions for the database is reconfigured to add atleast one additional partition to increase storage capacity in areconfigured arrangement (block 704). Here, repartitioning may occur asdiscussed previously to add additional capacity to the system.Repartitioning results in a reconfigured arrangement that may have morepartitions than the first arrangement. Accordingly, a compositepartition function is generated that combines the first partitionfunction associated with a first arrangement and a second partitionfunction associated with the reconfigured arrangement, the compositepartition function configured to use the record of identifiers toascertain whether to apply the first partition function or the secondpartition function for routing of data requests between the partitionsfor the database (block 706). Then, data requests are routed using thecomposite partition function (block 708). As described previously, acomposite partition function may be generated that accounts for two ormore successive partition eras associated with different arrangements ofpartitions. The different arrangements may be associated with differentindividual partition functions and/or different numbers of partitions(although the same number of partitions may be used for two or more erasin some scenarios (e.g., rebalancing). Different eras/arrangements mayalso be associated with respective records of identifiers that may beemployed to recognize membership of data/requests within particulareras. Appropriate partition functions are then mapped to thedata/requests and used to route data/request to the correspondingpartitions. A composite partition function is configured to combine twoor more partition functions associated with successive partition eraswith each partition era corresponding to a particular arrangement ofpartitions for the database. Various additional details and examplesregarding composite partition functions that may be employed inconnection with the procedure 700 were discussed previously in relationto FIGS. 1-6.

Having considered some example procedures, consider now a discussion ofan example system and devices that may be employed to implement aspectsof the techniques described herein in one or more implementations.

Example System and Device

FIG. 8 illustrates an example system generally at 800 that includes anexample computing device 802 that is representative of one or morecomputing systems and/or devices that may implement the varioustechniques described herein. The computing device 802 may be, forexample, a server of a service provider, a device associated with theclient (e.g., a client device), an on-chip system, and/or any othersuitable computing device or computing system.

The example computing device 802 as illustrated includes a processingsystem 804, one or more computer-readable media 806, and one or more I/Ointerfaces 808 that are communicatively coupled, one to another.Although not shown, the computing device 802 may further include asystem bus or other data and command transfer system that couples thevarious components, one to another. A system bus can include any one orcombination of different bus structures, such as a memory bus or memorycontroller, a peripheral bus, a universal serial bus, and/or a processoror local bus that utilizes any of a variety of bus architectures. Avariety of other examples are also contemplated, such as control anddata lines.

The processing system 804 is representative of functionality to performone or more operations using hardware. Accordingly, the processingsystem 804 is illustrated as including hardware elements 810 that may beconfigured as processors, functional blocks, and so forth. This mayinclude implementation in hardware as an application specific integratedcircuit or other logic device formed using one or more semiconductors.The hardware elements 810 are not limited by the materials from whichthey are formed or the processing mechanisms employed therein. Forexample, processors may be comprised of semiconductor(s) and/ortransistors (e.g., electronic integrated circuits (ICs)). In such acontext, processor-executable instructions may beelectronically-executable instructions.

The computer-readable media 806 is illustrated as includingmemory/storage 812. The memory/storage 812 represents memory/storagecapacity associated with one or more computer-readable media. Thememory/storage 812 may include volatile media (such as random accessmemory (RAM)) and/or nonvolatile media (such as read only memory (ROM),Flash memory, optical disks, magnetic disks, and so forth). Thememory/storage 812 may include fixed media (e.g., RAM, ROM, a fixed harddrive, and so on) as well as removable media (e.g., Flash memory, aremovable hard drive, an optical disc, and so forth). Thecomputer-readable media 806 may be configured in a variety of other waysas further described below.

Input/output interface(s) 808 are representative of functionality toallow a user to enter commands and information to computing device 802,and also allow information to be presented to the user and/or othercomponents or devices using various input/output devices. Examples ofinput devices include a keyboard, a cursor control device (e.g., amouse), a microphone, a scanner, touch functionality (e.g., capacitiveor other sensors that are configured to detect physical touch), a camera(e.g., which may employ visible or non-visible wavelengths such asinfrared frequencies to detect movement that does not involve touch asgestures), and so forth. Examples of output devices include a displaydevice (e.g., a monitor or projector), speakers, a printer, a networkcard, tactile-response device, and so forth. Thus, the computing device802 may be configured in a variety of ways as further described below tosupport user interaction.

Various techniques may be described herein in the general context ofsoftware, hardware elements, or program modules. Generally, such modulesinclude routines, programs, objects, elements, components, datastructures, and so forth that perform particular tasks or implementparticular abstract data types. The terms “module,” “functionality,” and“component” as used herein generally represent software, firmware,hardware, or a combination thereof. The features of the techniquesdescribed herein are platform-independent, meaning that the techniquesmay be implemented on a variety of commercial computing platforms havinga variety of processors.

An implementation of the described modules and techniques may be storedon or transmitted across some form of computer-readable media. Thecomputer-readable media may include a variety of media that may beaccessed by the computing device 802. By way of example, and notlimitation, computer-readable media may include “computer-readablestorage media” and “communication media.”

“Computer-readable storage media” refers to media and/or devices thatenable storage of information in contrast to mere signal transmission,carrier waves, or signals per se. Thus, computer-readable storage mediadoes not include signal bearing media or signals per se. Thecomputer-readable storage media includes hardware such as volatile andnon-volatile, removable and non-removable media and/or storage devicesimplemented in a method or technology suitable for storage ofinformation such as computer readable instructions, data structures,program modules, logic elements/circuits, or other data. Examples ofcomputer-readable storage media may include, but are not limited to,RAM, ROM, EEPROM, flash memory or other memory technology, CD-ROM,digital versatile disks (DVD) or other optical storage, hard disks,magnetic cassettes, magnetic tape, magnetic disk storage or othermagnetic storage devices, or other storage device, tangible media, orarticle of manufacture suitable to store the desired information andwhich may be accessed by a computer.

“Communication media” may refer to a signal-bearing medium that isconfigured to transmit instructions to the hardware of the computingdevice 802, such as via a network. Communication media typically mayembody computer readable instructions, data structures, program modules,or other data in a modulated data signal, such as carrier waves, datasignals, or other transport mechanism. Signal media also include anyinformation delivery media. The term “modulated data signal” means asignal that has one or more of its characteristics set or changed insuch a manner as to encode information in the signal. By way of example,and not limitation, communication media include wired media such as awired network or direct-wired connection, and wireless media such asacoustic, RF, infrared, and other wireless media.

As previously described, hardware elements 810 and computer-readablemedia 806 are representative of instructions, modules, programmabledevice logic and/or fixed device logic implemented in a hardware formthat may be employed in some embodiments to implement at least someaspects of the techniques described herein. Hardware elements mayinclude components of an integrated circuit or on-chip system, anapplication-specific integrated circuit (ASIC), a field-programmablegate array (FPGA), a complex programmable logic device (CPLD), and otherimplementations in silicon or other hardware devices. In this context, ahardware element may operate as a processing device that performsprogram tasks defined by instructions, modules, and/or logic embodied bythe hardware element as well as a hardware device utilized to storeinstructions for execution, e.g., the computer-readable storage mediadescribed previously.

Combinations of the foregoing may also be employed to implement varioustechniques and modules described herein. Accordingly, software,hardware, or program modules including applications 112, communicationmodule 114, resource manager 120 and other program modules may beimplemented as one or more instructions and/or logic embodied on someform of computer-readable storage media and/or by one or more hardwareelements 810. The computing device 802 may be configured to implementparticular instructions and/or functions corresponding to the softwareand/or hardware modules. Accordingly, implementation of modules as amodule that is executable by the computing device 802 as software may beachieved at least partially in hardware, e.g., through use ofcomputer-readable storage media and/or hardware elements 810 of theprocessing system. The instructions and/or functions may beexecutable/operable by one or more articles of manufacture (for example,one or more computing devices 802 and/or processing systems 804) toimplement techniques, modules, and examples described herein.

As further illustrated in FIG. 8, the example system 800 enablesubiquitous environments for a seamless user experience when runningapplications on a personal computer (PC), a television device, and/or amobile device. Services and applications run substantially similar inall three environments for a common user experience when transitioningfrom one device to the next while utilizing an application, playing avideo game, watching a video, and so on.

In the example system 800, multiple devices are interconnected through acentral computing device. The central computing device may be local tothe multiple devices or may be located remotely from the multipledevices. In one embodiment, the central computing device may be a cloudof one or more server computers that are connected to the multipledevices through a network, the Internet, or other data communicationlink.

In one embodiment, this interconnection architecture enablesfunctionality to be delivered across multiple devices to provide acommon and seamless experience to a user of the multiple devices. Eachof the multiple devices may have different physical requirements andcapabilities, and the central computing device uses a platform to enablethe delivery of an experience to the device that is both tailored to thedevice and yet common to all devices. In one embodiment, a class oftarget devices is created and experiences are tailored to the genericclass of devices. A class of devices may be defined by physicalfeatures, types of usage, or other common characteristics of thedevices.

In various implementations, the computing device 802 may assume avariety of different configurations, such as for computer 814, mobile816, and television 818 uses. Each of these configurations includesdevices that may have generally different constructs and capabilities,and thus the computing device 802 may be configured according to one ormore of the different device classes. For instance, the computing device802 may be implemented as the computer 814 class of a device thatincludes a personal computer, desktop computer, a multi-screen computer,laptop computer, netbook, and so on.

The computing device 802 may also be implemented as the mobile 816 classof device that includes mobile devices, such as a mobile phone, portablemusic player, portable gaming device, a tablet computer, a multi-screencomputer, and so on. The computing device 802 may also be implemented asthe television 818 class of device that includes devices having orconnected to generally larger screens in casual viewing environments.These devices include televisions, set-top boxes, gaming consoles, andso on.

The techniques described herein may be supported by these variousconfigurations of the computing device 802 and are not limited to thespecific examples of the techniques described herein. This isillustrated through inclusion of the resource manager 120 on thecomputing device 802. The functionality of the resource manager 120 andother modules may also be implemented all or in part through use of adistributed system, such as over a “cloud” 820 via a platform 822 asdescribed below.

The cloud 820 includes and/or is representative of a platform 822 forresources 824. The platform 822 abstracts underlying functionality ofhardware (e.g., servers) and software resources of the cloud 820. Theresources 824 may include applications and/or data that can be utilizedwhile computer processing is executed on servers that are remote fromthe computing device 802. Resources 824 can also include servicesprovided over the Internet and/or through a subscriber network, such asa cellular or Wi-Fi network.

The platform 822 may abstract resources and functions to connect thecomputing device 802 with other computing devices. The platform 822 mayalso serve to abstract scaling of resources to provide a correspondinglevel of scale to encountered demand for the resources 824 that areimplemented via the platform 822. Accordingly, in an interconnecteddevice embodiment, implementation of functionality described herein maybe distributed throughout the system 800. For example, the functionalitymay be implemented in part on the computing device 802 as well as viathe platform 822 that abstracts the functionality of the cloud 820.

Example Implementations

Example implementations of composite partition functions describedherein include, but are not limited to, one or any combinations of oneor more of the following examples:

A method implemented by a computing device comprising: partitioning adatabase with a first partition function; and repartitioning thedatabase by: creating a record of key membership for data entrieslocated in partitions existing at a time of repartitioning; adding oneor more new partitions associated with a second partition function;defining a composite partition function for subsequent databaseoperations configured to: apply the first partition function for datahaving key values found in the record of key membership; or apply thesecond partition function for data having key values not found in therecord of key membership.

A method as described above, wherein the repartitioning is performedsuch that the data entries located in partitions existing at the time ofrepartitioning keep their respective locations.

A method as described above, wherein the record of key membership isconfigured to record key values associated with data entries located inthe partitions existing at the time of repartitioning.

A method as described above, wherein the record of key membershipcomprises a compressed data structure configured to identify keyscorresponding to data entries existing in the database at the time ofrepartitioning.

A method as described above, wherein the record of key membershipcomprises a Bloom filter.

A method as described above, wherein the composite partition function isconfigured to combine two or more partition functions associated withsuccessive partition eras, each partition era corresponding to aparticular arrangement of partitions for the database.

A method as described above, wherein the first partition function andthe second partition function are configured as hash functions that whenapplied to key values for data requests return data identifyingpartitions of the database corresponding to the key values.

A method as described above, wherein the first partition functioncomprises a prior composite function established for a previousrepartitioning of the database to add additional storage capacity, thecomposite partition function that is defined configured to apply theprior composite function for data having key values found in the recordof key membership and the second partition function for other data.

A method as described above, wherein the combined partition function isconfigured to bias allocation of data towards placement of new dataentries on the new partitions to balance a distribution of data acrosspartitions of the database.

A method as described above, wherein the combined partition functionmisrecognizes at least some key values for new data entries as beingfound in the record of key membership, such that data entries associatedwith misrecognized key values are allocated to and consistently locatedwithin the partitions existing at the time of repartitioning.

A computing device comprising: a processing system; and one or moremodules that, when executed by the processing system, perform operationsfor repartitioning of a database to increase storage capacity including:creating a record of key membership for data entries located inpartitions of the database existing at the time of repartitioning,partitions of the database existing at a time of repartitioningassociated with a first partition function; adding a new partitionassociated with a second partition function; and defining a compositepartition function for handling of subsequent database requestsconfigured to: apply the first partition function for data requestsincluding key values found in the record of key membership; or apply thesecond partition function for data requests including key values notfound in the record of key membership, such that data entries located inpartitions existing at the time of repartitioning keep their respectivelocations in the partitions existing at the time of repartitioning.

The computing device above, wherein the record of key membership isconfigured as a Bloom filter having bit values set for keys associatedwith data entries existing at the time of repartitioning to indicatemembership for the keys via the Bloom filter.

The computing device of above, wherein: the Bloom filter produces falsepositive errors according to a configurable tolerance which causes atleast a portion of data entries created after repartitioning to bemisrecognized and handled using the first partition function, the falsepositive errors being consistent such that misrecognized data entriesare reliably located using the first partition function; and a degree ofcompactness of the Bloom filter depends upon the configurable tolerance.

The computing above, wherein the composite partition function isconfigured to combine the second partition function with a plurality ofindividual partition functions associated with multiple previousoperations to repartition the database.

The computing device above, wherein the second partition function isconfigured to allocate data across partitions of the database existingat the time of repartitioning and the new partition.

A method implemented by a computing device comprising: establishing arecord of identifiers for data corresponding to a first partitionfunction associated with a first arrangement of one or more partitionsfor a database; reconfiguring the arrangement of partitions for thedatabase to add at least one additional partition to increase storagecapacity in a reconfigured arrangement; generating a composite partitionfunction that combines the first partition function associated with thefirst arrangement and a second partition function associated with thereconfigured arrangement, the composite partition function configured touse the record of identifiers to ascertain whether to apply the firstpartition function or the second partition function for routing of datarequests between partitions for the database; and routing data requestsusing the composite partition function.

A method as described above, wherein routing data requests using thecomposite partition function comprises for each data request: using therecord of identifiers to ascertain whether an identifier associated withthe data request is included in the record of identifiers; and when theidentifier is included, routing the data request using the firstpartition function; or when the identifier is not included, routing thedata request using the second partition function.

A method as described above, wherein the data requests comprisesrequests to access, add, or modify data entries in partitions of thedatabase.

A method as described above, wherein data entries existing prior to thereconfiguring are not moved to different locations as a result of thereconfiguring.

A method as described above, wherein the second partition functioncomprises a modified hash function configured to incorporate a skewfactor to cause allocation of new data to the at least one additionalpartition added for the reconfigured arrangement more frequently than tothe one or more partitions existing for the first arrangement.

CONCLUSION

Although the subject matter has been described in language specific tostructural features and/or methodological acts, it is to be understoodthat the subject matter defined in the appended claims is notnecessarily limited to the specific features or acts described. Rather,the specific features and acts are disclosed as example forms ofimplementing the claimed subject matter.

What is claimed is:
 1. A method implemented by a computing devicecomprising: partitioning a database with a first partition function; andrepartitioning the database by: creating a record of key membership fordata entries located in partitions existing at a time of repartitioning;adding one or more new partitions associated with a second partitionfunction; defining a composite partition function for subsequentdatabase operations configured to: apply the first partition functionfor data having key values found in the record of key membership; andapply the second partition function for data having key values not foundin the record of key membership, wherein the repartitioning is performedsuch that the data entries located in partitions existing at the time ofrepartitioning keep their respective locations.
 2. A method as describedin claim 1, wherein the record of key membership is configured to recordkey values associated with data entries located in the partitionsexisting at the time of repartitioning.
 3. A method as described inclaim 1, wherein the record of key membership comprises a compresseddata structure configured to identify keys corresponding to data entriesexisting in the database at the time of repartitioning.
 4. A method asdescribed in claim 1, wherein the record of key membership comprises aBloom filter.
 5. A method as described in claim 1, wherein the compositepartition function is configured to combine two or more partitionfunctions associated with successive partition arrangements.
 6. A methodas described in claim 1, wherein the first partition function and thesecond partition function are configured as hash functions that whenapplied to key values for data requests return data identifyingpartitions of the database corresponding to the key values.
 7. A methodas described in claim 1, wherein the first partition function comprisesa prior composite function established for a previous repartitioning ofthe database to add additional storage capacity, the composite partitionfunction configured to apply the prior composite function for datahaving key values found in the record of key membership and the secondpartition function for other data.
 8. A method as described in claim 1,wherein the composite partition function is configured to biasallocation of data towards placement of new data entries on the newpartitions to balance a distribution of data across partitions of thedatabase.
 9. A method as described in claim 1, wherein the compositepartition function misrecognizes at least some key values for new dataentries as being found in the record of key membership, such that dataentries associated with misrecognized key values are allocated to andconsistently located within the partitions existing at the time ofrepartitioning.
 10. A computing device comprising: a processing system;and one or more modules that, when executed by the processing system,perform operations for repartitioning of a database to increase storagecapacity including: creating a record of key membership for data entrieslocated in partitions of the database existing at the time ofrepartitioning, partitions of the database existing at a time ofrepartitioning associated with a first partition function; adding a newpartition associated with a second partition function; and defining acomposite partition function for handling of subsequent databaserequests configured to: apply the first partition function for datarequests including key values found in the record of key membership; andapply the second partition function for data requests including keyvalues not found in the record of key membership, such that data entrieslocated in partitions existing at the time of repartitioning keep theirrespective locations in the partitions existing at the time ofrepartitioning.
 11. The computing device of claim 10, wherein the recordof key membership is configured as a Bloom filter having bit values setfor keys associated with data entries existing at the time ofrepartitioning to indicate membership for the keys via the Bloom filter.12. The computing device of claim 11, wherein: the Bloom filter producesfalse positive errors according to a configurable tolerance which causesat least a portion of data entries created after repartitioning to bemisrecognized and handled using the first partition function, the falsepositive errors being consistent such that misrecognized data entriesare reliably located using the first partition function; and a degree ofcompactness of the Bloom filter depends upon the configurable tolerance.13. The computing device of claim 10, wherein the composite partitionfunction is configured to combine the second partition function with aplurality of individual partition functions associated with multipleprevious operations to repartition the database.
 14. The computingdevice of claim 10, wherein the second partition function is configuredto allocate data across partitions of the database existing at the timeof repartitioning and the new partition.
 15. A method implemented by acomputing device comprising: establishing a record of identifiers fordata corresponding to a first partition function associated with a firstarrangement of one or more partitions for a database; reconfiguring thearrangement of partitions for the database to add at least oneadditional partition to increase storage capacity in a reconfiguredarrangement; generating a composite partition function that combines thefirst partition function associated with the first arrangement and asecond partition function associated with the reconfigured arrangement,the composite partition function configured to use the record ofidentifiers to ascertain whether to apply the first partition functionor the second partition function for routing of data requests betweenpartitions for the database; and routing data requests using thecomposite partition function.
 16. A method as described in claim 15,wherein routing data requests using the composite partition functioncomprises for each data request: using the record of identifiers toascertain whether an identifier associated with the data request isincluded in the record of identifiers; and when the identifier isincluded, routing the data request using the first partition function;or when the identifier is not included, routing the data request usingthe second partition function.
 17. A method as described in claim 15,wherein the data requests comprises requests to access, add, or modifydata entries in partitions of the database.
 18. A method as described inclaim 15, wherein data entries existing prior to the reconfiguring arenot moved to different locations as a result of the reconfiguring.
 19. Amethod as described in claim 15, wherein the second partition functioncomprises a modified hash function configured to incorporate a skewfactor to cause allocation of new data to the at least one additionalpartition added for the reconfigured arrangement more frequently than tothe one or more partitions existing for the first arrangement.